4136826498561 has 45 divisors (see below), whose sum is σ = 6275175212691. Its totient is φ = 2715916447728.

The previous prime is 4136826498547. The next prime is 4136826498589. The reversal of 4136826498561 is 1658946286314.

The square root of 4136826498561 is 2033919.

It is a perfect power (a square), and thus also a powerful number.

4136826498561 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 8 + 2 + 64 + 9 + 8 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4092791994225 + 44034504336 = 2023065^2 + 209844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4136826498561 is a prime.

It is a super-2 number, since 2×4136826498561² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4136826698561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1226451471 + ... + 1226454843.

Almost surely, 2^{4136826498561} is an apocalyptic number.

4136826498561 is the 2033919-th square number.

4136826498561 is the 1016960-th centered octagonal number.

It is an amenable number.

4136826498561 is a deficient number, since it is larger than the sum of its proper divisors (2138348714130).

4136826498561 is an frugal number, since it uses more digits than its factorization.

4136826498561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 3443 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 4136826498561 in words is "four trillion, one hundred thirty-six billion, eight hundred twenty-six million, four hundred ninety-eight thousand, five hundred sixty-one".